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Finding the Fourth Proportional to 9,757.58, 14,634.81 and 3,183.71

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Solution

The fourth proportional to 9,757.58, 14,634.81 and 3,183.71 is: 4,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.58 : 14,634.81 = 3,183.71 : x
  2. Step 2: Convert to fraction form
    9,757.58/14,634.81 = 3,183.71/x
  3. Step 3: Cross multiply
    9,757.58x = 14,634.81 × 3,183.71
  4. Step 4: Simplify right side
    9,757.58x = 46,592,917.77
  5. Step 5: Solve for x
    x = 46,592,917.77/9,757.58
  6. Step 6: Final answer
    x = 4,775.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.